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If `tan alpha =(b)/(a), a gt b gt 0 and " if " 0 lt alpha lt (pi)/(4), " then " sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b))` is equal to :

A

`(2 sin alpha)/(sqrt(2 alpha))`

B

`(2 cos alpha)/(sqrt(cos2alpha))`

C

`(2 sin alpha)/(sqrt(sin 2alpha))`

D

`(2 cos alpha)/(sqrt(sin2alpha))`

Text Solution

Verified by Experts

The correct Answer is:
B
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